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[See Solution] Assume that the population of heights of female college students is approximately normally distributed with mean  of 46 inches and standard deviation

Question: Assume that the population of heights of female college students is approximately normally distributed with mean of 46 inches and standard deviation of 4.00 inches. A random sample of 18 heights is obtained.  Show all work.

  1. Find the proportion of male college students whose height is greater than 45 inches.
  2. Find the mean and standard error of the \(\bar{X}\) distribution
  3. Find \(\Pr \left( X>45 \right)\)

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